Find the radius $ r $ of a cone if height $h = 11$ and volume $V = 564$.
Answer
$r = 23.2073$
Explanation
To find radius $ r $ use formula:
$$ V = \dfrac{ r ^{ 2 } \cdot h \cdot \pi}{ 3 } $$After substituting $ V = 564 $ and $ h = 11 $ we have:
$$ 564 = \dfrac{ r ^{ 2 } \cdot 11 \cdot \pi}{ 3 } $$$$ 564 \cdot 3 = r ^{ 2 } \cdot 11 \cdot \pi $$$$ 1692 = 11 \cdot r ^{ 2 } \cdot \pi $$$$ r ^{ 2 } = \dfrac{ 1692}{ 11 \, \pi } $$$$ r ^{ 2 } = 538.5808 $$$$ r = \sqrt{ 538.5808 } $$$$ r = 23.2073 $$This page was created using
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